Question

What is the axis of symmetry for f(x) = 2x2 − 4x + 5? (1 point) x = −2 x = −1 x = 1 x = 2

Answer 1

y = 2x^2 − 4x + 5

y = 2(x^2 − 2x) + 5

y = 2(x^2 − 2x + 1 - 1) + 5

y = 2(x^2 − 2x + 1) + 5 - 2

y = 2(x - 1)^2 + 3

x = 1 is the axis of symmetry.

Do you agree?

Answer 2

x = 1

Explanation:

To find the axis of symmetry use the formula: x = -b/2a. In the quadratic equation of 2x^2 - 4x + 5:

• a = 2
• b = -4
• c = 5

Substitute a and b into the formula.

x = -(-4)/2(2)

This simplifies to 4/4, which is then simplified to 1.

Therefore the axis of symmetry is x = 1.